Pith Number

pith:BQ5D6UG5

pith:2024:BQ5D6UG5QR6CD45FDTJUWDJ6LF

not attested not anchored not stored refs pending

Discrete Brunn-Minkowski Inequality for subsets of the cube

Dmitry Krachun, J\'ose Madrid, Lars Becker, Paata Ivanisvili

arxiv:2404.04486 v2 · 2024-04-06 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQ5D6UG5QR6CD45FDTJUWDJ6LF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Optimal Young's convolutions inequality and its reverse form on the hypercube

Receipt and verification

First computed	2026-07-05T08:08:03.809674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3a3f50dd847c21f3a51cd34b0d3e596d4f498ef1f6918330ffd24fef6e1eb1

Aliases

arxiv: 2404.04486 · arxiv_version: 2404.04486v2 · doi: 10.48550/arxiv.2404.04486 · pith_short_12: BQ5D6UG5QR6C · pith_short_16: BQ5D6UG5QR6CD45F · pith_short_8: BQ5D6UG5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BQ5D6UG5QR6CD45FDTJUWDJ6LF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0c3a3f50dd847c21f3a51cd34b0d3e596d4f498ef1f6918330ffd24fef6e1eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cacde82a8ffb8e0476417ab188d2cd7511ecabf7a104ba5f01804b8bb88c653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-06T03:40:13Z",
    "title_canon_sha256": "c79aaf2bb68eb8f93798db9b726d1806de3ee9a5136f819775a381c75327f157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04486",
    "kind": "arxiv",
    "version": 2
  }
}